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Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations

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Release : 2014-01-15
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Kind : eBook
Book Rating : 047/5 ( reviews)

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Book Synopsis Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations by : Werner Balser

Download or read book Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations written by Werner Balser. This book was released on 2014-01-15. Available in PDF, EPUB and Kindle. Book excerpt:

Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations

Download Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations PDF Online Free

Author :
Release : 2008-01-19
Genre : Mathematics
Kind : eBook
Book Rating : 986/5 ( reviews)

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Book Synopsis Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations by : Werner Balser

Download or read book Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations written by Werner Balser. This book was released on 2008-01-19. Available in PDF, EPUB and Kindle. Book excerpt: Simple Ordinary Differential Equations may have solutions in terms of power series whose coefficients grow at such a rate that the series has a radius of convergence equal to zero. In fact, every linear meromorphic system has a formal solution of a certain form, which can be relatively easily computed, but which generally involves such power series diverging everywhere. In this book the author presents the classical theory of meromorphic systems of ODE in the new light shed upon it by the recent achievements in the theory of summability of formal power series.

Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations

Download Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations PDF Online Free

Author :
Release : 2000
Genre : Mathematics
Kind : eBook
Book Rating : 901/5 ( reviews)

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Book Synopsis Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations by : Werner Balser

Download or read book Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations written by Werner Balser. This book was released on 2000. Available in PDF, EPUB and Kindle. Book excerpt: Simple Ordinary Differential Equations may have solutions in terms of power series whose coefficients grow at such a rate that the series has a radius of convergence equal to zero. In fact, every linear meromorphic system has a formal solution of a certain form, which can be relatively easily computed, but which generally involves such power series diverging everywhere. In this book the author presents the classical theory of meromorphic systems of ODE in the new light shed upon it by the recent achievements in the theory of summability of formal power series.

Formal And Analytic Solutions Of Differential Equations

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Release : 2022-03-03
Genre : Mathematics
Kind : eBook
Book Rating : 374/5 ( reviews)

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Book Synopsis Formal And Analytic Solutions Of Differential Equations by : Galina Filipuk

Download or read book Formal And Analytic Solutions Of Differential Equations written by Galina Filipuk. This book was released on 2022-03-03. Available in PDF, EPUB and Kindle. Book excerpt: The book provides the reader with an overview of the actual state of research in ordinary and partial differential equations in the complex domain. Topics include summability and asymptotic study of both ordinary and partial differential equations, and also q-difference and differential-difference equations. This book will be of interest to researchers and students who wish to expand their knowledge of these fields.With the latest results and research developments and contributions from experts in their field, Formal and Analytic Solutions of Differential Equations provides a valuable contribution to methods, techniques, different mathematical tools, and study calculations.

Higher-Dimensional Algebraic Geometry

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Release : 2013-03-09
Genre : Mathematics
Kind : eBook
Book Rating : 06X/5 ( reviews)

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Book Synopsis Higher-Dimensional Algebraic Geometry by : Olivier Debarre

Download or read book Higher-Dimensional Algebraic Geometry written by Olivier Debarre. This book was released on 2013-03-09. Available in PDF, EPUB and Kindle. Book excerpt: The classification theory of algebraic varieties is the focus of this book. This very active area of research is still developing, but an amazing quantity of knowledge has accumulated over the past twenty years. The authors goal is to provide an easily accessible introduction to the subject. The book starts with preparatory and standard definitions and results, then moves on to discuss various aspects of the geometry of smooth projective varieties with many rational curves, and finishes in taking the first steps towards Moris minimal model program of classification of algebraic varieties by proving the cone and contraction theorems. The book is well-organized and the author has kept the number of concepts that are used but not proved to a minimum to provide a mostly self-contained introduction.

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